If P(A)=0.33 and P(Bc)=0.11, can A and B be disjoint?

Q: Suppose P(A) = 0.57, P(B) = 0.20, and P(AM B)= 0.05. What is P(A| BC?

A: A and B with probabilities P(A)= 0.57 and P(B)= 0.20 P(A ⋂ B)= 0.05To find the probabilit P(A|Bc)

Q: Suppose P(C) = 0.3 and P(D|C) = 0.8. Find P(C&D).

A: Given that,P (C) =0.3P (D/C) =0.8P (C&D) =?

Q: Suppose P(A) = 0.48 and P(B) = 0.62. Can A and B be mutually exclusive? Why or why not.

A: We know that, mutually exclusive events are  events which can not happen at the same time.

Q: If P (A)=0.6, P (B)=0.1, and A and B are mutually exclusive, find P (A or B).

A:

Q: Suppose P(B)=0.22, P(A and B)=0.125, and A and B are independent. Find P(Ac) Select one: A. 0.57 B.…

A: Given Information:PB=0.22PA and B=0.125A and B are independent.To find PAc

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

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Q: If n(A U B) = 21, n(A n B) = 16, and n(B) = 19, find n(A). n(A) =

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Q: Let, A = [ 1 2 x 3 −1 2 ] and B = [ x y 1 ]. If AB = [ 6 8 ], find x and y.

A: Let, A = [ 1 2 x3 −1 2 ] and B = [xy1]. If AB = [68], find x and y.

Q: If P(A) = 0-4 , P(B) = 0.7 and P (at leasr one of A and B) = 0.8, find P(only one of A and B). %3D

A: Given that  P(A)=0.4 , P(B)=0.7 P(at least one of A and B)=0.8=P(A U B)  Find P(only one of A and B)

Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

A:

Q: P(A)=0.6, P(B)=0.3, and P(A or B)=0.7 are A + B mutually exclusive?

A: Mutually exclusive events:Two events are said to be mutually exclusive events, when both cannot…

Q: Suppose P(A) = 0.6 and P(B| A) = 0.4. Find P(A&B).

A:

Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: Let P (A) = 0.4 and P (A ∪ B) = 0.6. For what value of P (B) are A and B independent?

A:

Q: Given P(A) = 0.20, P(B) = 0.25, and P(B|A) = 0.25, are A and B independent or dependent?

A: PA=0.20, PB=0.25 and PB|A=0.25

Q: (a) Explain why any automorphism (b) Show that any automorphism that Aut (S3) 6. of S3 takes a…

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Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: If P(A) = 0.4, P(B) = 0.5, and P(AUB) = 0.7, find P(ANB). P(AUB).

A:

Q: and y= If a = 3, then x =

A: Solve using the properties of trigonometric rations

Q: Given that z = V3+i. (a) Find z10 and express your answer in the form a + ib, where a and b are real…

A: Given that  z=3+i Let z=reiθ=rcosθ+isinθ, then rcosθ=3, rsinθ=1 ⇒r=3+1=2 and θ=tan-113=π6. So,…

Q: If x ∗ y = 2x – 3y + 4xy, find the values of 5 ∗ 2 and 3 * 2/5.

A: The solution is as

Q: If n(A) = 46, n(B) = 19, and n(AN B) 19, and n(An B) = 4, find n(A U B).

A:

Q: If we know that Pr(A U B) = 0.6 and Pr( A n B )= 0.2, can we find Pr( A) and Pr (B)?

A: We have to find wheather we can find probabiities or not.

Q: It was determined that P(B) = P(A₁B) + P(A₂B). It was previously found that P(A₁B) = 0.2 and P(A₂B)…

A: According to the given information, we have P(B)=P(A1∩B)+P(A2∩B)

Q: If n(A) 108, n(A U B) = 155, and n(A n B) = 43, find n(B).

A: Given: n(A)=108, nA∪B=155 and nA∩B=43.

Q: Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?

A: We know,  P(B/A) = P(A∩B)/P(A)     P(A∩B) = P(A) P(B) Events A and B are independent if the equation…

Q: If n(A) = 44, n(B) = 19, and n(A n B) = 9, find n(AU B). %3D %3D

A: Solution

Q: Let x be a random variable that represents the level of glucose in the blood (milligrams per…

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Q: If m = 2, p = –1, and t = 3, what is the value of mpt [2p + 3(p + m)] ?

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Q: Solve the given system of differential equations by systematic elimination. d²x dt² d²y = 16x - et…

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Q: Assume that P (A n B) = 0.25, P (B) = 0.65, and P ( A 0.15. Find P (A).

A: